Question

I really need help solving this. 0.5x-7<1.5+0.8x. Write in interval notation.

Answer 1

First get all of the x terms to one side of the inequality. What do you get?

Answer 2

-7<1.5+0.3x

Answer 3

Yes. Now get x by itself on one side

Answer 4

Ok so would it be -5.5/0.3<x?

Answer 5

No. If you subtract 1.5 from both sides, you have
0.3x > -8.5

hence
x > 85/3 = 28 1/3

Answer 6

Oh ok. So how would I write that in interval notation?

Answer 7

Well, if
x > a
for some constant a, how do you write that in interval notation? It is
\[ x \in (a, \infty) \]

Answer 8

so the answer would be (28,oo)? Im still confused.

Answer 9

No. It is
\[ x \in (28 \frac{1}{3}, \infty) \]
or
\[ x \in (83/3, \infty) \]
whichever you prefer.

Answer 10

oh ok. thanks you so much.